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(x+4y)(x﹣4y) (x+2y)(x﹣2y) (x﹣4y)2 (x﹣2y)2
(x+2)(x-2)=x2-4 x2-4y2=(x-2y)(x+2y) x2-4+3x=(x+2)(x-2)+3x 2a(b+c)-3(b+c)=2ab+2ac-3b-3c
x2+6xy+9y2=(x+3y)2 2x2﹣4xy+9y2=(2x﹣3y)2 2x2﹣8y2=2(x+4y)(x﹣4y) x(x﹣y)+y(y﹣x)=(x﹣y)(x+y)
x2+4y2; -x2-4y2; x2-2y2+1; x2-4y2。
y(x+2)(x﹣2) y(x+4)(x﹣4) y(x2﹣4) y(x﹣2)2
y(x+2)(x﹣2) y(x+4)(x﹣4) y(x2﹣4) y(x﹣2)2
x2+4 x2+2x+4 x2﹣x+ x2﹣4y
x2+4y2 x2-2y+1 -x2+4y2 -x2-4y2
a2﹣b2=(a﹣b)2 x2+4y2=(x+2y)2 2﹣8a2=2(1+2a)(1﹣2a) x2﹣4y2=(x+4y)(x﹣4y)
x2+4y2 x2﹣2y2+1 ﹣x2+4y2 ﹣x2﹣4y2
(y﹣1)(y+1)=y2﹣1 x2y+xy2﹣1=xy(x+y)﹣1 (x﹣2)(x﹣3)=(3﹣x)(2﹣x) x2﹣4x+4=(x﹣2)2